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Finding the Fourth Proportional to 2,494.06, 3,734.50 and 1,998.13

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Solution

The fourth proportional to 2,494.06, 3,734.50 and 1,998.13 is: 2,991.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.06 : 3,734.50 = 1,998.13 : x
  2. Step 2: Convert to fraction form
    2,494.06/3,734.50 = 1,998.13/x
  3. Step 3: Cross multiply
    2,494.06x = 3,734.50 × 1,998.13
  4. Step 4: Simplify right side
    2,494.06x = 7,462,016.49
  5. Step 5: Solve for x
    x = 7,462,016.49/2,494.06
  6. Step 6: Final answer
    x = 2,991.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.